Jacobi transformation conjecture for VOA characters
Jacobi transformation conjecture for VOA characters
Let be a rational vertex operator algebra of CFT type, let be an irreducible -module, and let and be the spaces defined in the source, with the dual lattice of the lattice . For and , write for the character associated with . Jacobi transformation conjecture.
This predicts the elliptic transformation law for the characters of irreducible modules and is part of the expected Jacobi-form behavior of VOA characters. The source gives no further information about its resolution.
Sources & referencesView supporting material
Primary source
Chongying Dong, Kefeng Liu and Xiaonan Ma, “Elliptic genus and vertex operator algebras”, arXiv:math/0201135 (2002).
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